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A235234
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Number of (n+1) X (3+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
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1
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1328, 3688, 9656, 28400, 78824, 241456, 698304, 2200992, 6566416, 21133848, 64625520, 211345224, 659476792, 2184169416, 6931496536, 23195106736, 74666215624, 252015025392, 821113460448, 2791657605024, 9189851391216
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OFFSET
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1,1
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COMMENTS
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Column 3 of A235239.
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 6*a(n-1) +75*a(n-2) -499*a(n-3) -2477*a(n-4) +18893*a(n-5) +46844*a(n-6) -431641*a(n-7) -544644*a(n-8) +6650508*a(n-9) +3692164*a(n-10) -73169776*a(n-11) -7965360*a(n-12) +593911464*a(n-13) -108754278*a(n-14) -3624939268*a(n-15) +1348847209*a(n-16) +16812874388*a(n-17) -8151710835*a(n-18) -59533275997*a(n-19) +31896084725*a(n-20) +160970283883*a(n-21) -85813326662*a(n-22) -331183400635*a(n-23) +159993289668*a(n-24) +514651400122*a(n-25) -202610873932*a(n-26) -596529887736*a(n-27) +165384664128*a(n-28) +505501523616*a(n-29) -76023552288*a(n-30) -303948460656*a(n-31) +8914601088*a(n-32) +124404317856*a(n-33) +9463220928*a(n-34) -32567277312*a(n-35) -5301282816*a(n-36) +4869517824*a(n-37) +1128950784*a(n-38) -313528320*a(n-39) -89579520*a(n-40).
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EXAMPLE
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Some solutions for n=4:
5 1 3 1 6 1 6 3 1 3 0 3 2 0 2 0 4 2 3 1
3 5 1 5 3 4 3 6 5 1 4 1 1 5 1 5 1 5 0 4
4 0 2 0 6 1 6 3 4 6 3 6 4 2 4 2 4 2 3 1
3 5 1 5 1 2 1 4 5 1 4 1 0 4 0 4 1 5 0 4
6 2 4 2 6 1 6 3 2 4 1 4 5 3 5 3 5 3 4 2
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CROSSREFS
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Sequence in context: A075038 A082889 A109568 * A250873 A205091 A038854
Adjacent sequences: A235231 A235232 A235233 * A235235 A235236 A235237
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Jan 05 2014
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STATUS
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approved
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